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Finding the Fourth Proportional to 197.72, 295.13 and 182.60

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Solution

The fourth proportional to 197.72, 295.13 and 182.60 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 295.13 = 182.60 : x
  2. Step 2: Convert to fraction form
    197.72/295.13 = 182.60/x
  3. Step 3: Cross multiply
    197.72x = 295.13 × 182.60
  4. Step 4: Simplify right side
    197.72x = 53,890.74
  5. Step 5: Solve for x
    x = 53,890.74/197.72
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.